A Proposal of Hyperbolic Fitting Method by Applying the Properties of Functions for Plateau Surface Analysis in ISO 13565-3

Feasibility Study on Evaluation Method for Plateau Surfaces by Conic Curve Fitting Using Information of Conjugate Diameter

“…The experimental data of this study are G1 with Ns = 8000 and G5 with Ns = 9000 from previous studies [8,9]. Ns is the number of slides by the experimental equipment in [9].…”

“…Conic curve fitting was then performed using the conjugate diameter information. The hyperbola Z H fitted to the MPC is calculated using the coordinate information of the intersection points of the conjugate diameters based on Equations ( 1)-( 4) in a previous study [8]. Figure 3a,b show the calculated hyperbola, Z H .…”

“…A linear regression is performed for each range. The roughness parameters, Rpq of the plateau region, Rvq of the valley region, and the material length ratio Rmq, which is an index of the border between the plateau and valley regions, are calculated from the slopes and intersection of the two regression lines [8].…”

“…Plateau surfaces are difficult to evaluate using the widely used roughness parameters Ra or Rz [1] because the two regions must be evaluated separately. Methods for evaluating the two regions separately have been proposed by the International Organization for Standardization (ISO) [2,3] and in previous studies [4][5][6][7][8].…”

“…Proc. 2023, 56, 330 have been proposed by the International Organization for Standardization (ISO) [2, in previous studies [4][5][6][7][8]. These methods can evaluate each region separately using terial probability curve (MPC), as shown in Figure 1b.…”